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Simplifying 6n + -71 = 3n + -8 Reorder the terms: -71 + 6n = 3n + -8 Reorder the terms: -71 + 6n = -8 + 3n Solving -71 + 6n = -8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -71 + 6n + -3n = -8 + 3n + -3n Combine like terms: 6n + -3n = 3n -71 + 3n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 -71 + 3n = -8 + 0 -71 + 3n = -8 Add '71' to each side of the equation. -71 + 71 + 3n = -8 + 71 Combine like terms: -71 + 71 = 0 0 + 3n = -8 + 71 3n = -8 + 71 Combine like terms: -8 + 71 = 63 3n = 63 Divide each side by '3'. n = 21 Simplifying n = 21
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